Li-Cheng Tsai

Assistant Professor

Department of Mathematics, Rutgers University — New Brunswick
Rm 342 Hill Center, 110 Frelinghuysen Road, Piscataway, NJ 08854 USA

Email: lctsai.math@gmail.com

Picture of Li-Cheng Tsai

My curriculum vitae.

I am an assistant professor in the Department of Mathematics, Rutgers University — New Brunswick.

I obtained my Ph.D. in Mathematics at Stanford University in 2016, and conducted postdoctoral research at Columbia University as a Junior Fellow of the Simons Society of Fellows, from 2016 to 2019.

My research interest lies in probability theory, particularly asymptotic behaviors of large interacting particle systems, with a focus on their interplay between partial differential equations, stochastic partial differential equations, and integrable probability.

Awards

Publications

See also Google Scholar.

Preprint

  1. Fractional moments of the Stochastic Heat Equation [arXiv]
    with Sayan Das.
  2. Moments of the 2D SHE at criticality [arXiv]
    with Yu Gu and Jeremy Quastel. Submitted
  3. Exact lower tail large deviations of the KPZ equation [arXiv]
    Submitted
  4. SPDE Limit of Weakly Inhomogeneous ASEP [arXiv]
    with Ivan Corwin. Submitted

Published / To appear

  1. Stochastic PDE Limit of the Six Vertex Model [arXiv]
    with Ivan Corwin, Promit Ghosal, and Hao Shen. To appear in Comm. Math. Phys. 2020
  2. Another look into the Wong-Zakai Theorem for Stochastic Heat Equation [arXiv][MR]
    with Yu Gu. Ann. Appl. Probab. 29(5) 3037–3061, 2019
  3. Stochastic Telegraph Equation Limit for the Stochastic Six Vertex Model [arXiv][MR]
    with Hao Shen. Proceedings of the AMS 147(6) 2685–2705, 2019
  4. Exceedingly Large Deviations of the Totally Asymmetric Exclusion Process [arXiv][MR]
    with Stefano Olla. Electron. J. Probab. 24(16) 1–71, 2019
  5. Criticality of a randomly-driven front [arXiv][SharedIt][MR]
    with Amir Dembo. Arch. Rational Mech. Anal. 233(2), 643–699, 2019
  6. Coulomb-gas electrostatics controls large fluctuations of the KPZ equation [arXiv]
    with Ivan Corwin, Promit Ghosal, Alexandre Krajenbrink, and Pierre Le Doussal.
    Phys. Rev. Lett. 121(6) 060201, 2018
  7. Stationary Distributions of the Atlas Model [arXiv][MR]
    Electron. C. Probab. 23(10) 1–10, 2018
  8. ASEP(q,j) converges to the KPZ equation [arXiv][MR]
    with Ivan Corwin and Hao Shen. Ann. Inst. Henri Poincare (B) Probab. Stat. 54(2) 995–1012, 2018
  9. Optimal Surviving Strategy for Drifted Brownian Motions with Absorption [arXiv][MR]
    with Wenpin Tang. Ann. Prob. 46(3) 1597–1650, 2018
  10. Stationary Gap Distributions for Infinite Systems of Competing Brownian Particles [arXiv][MR]
    with Andrey Sarantsev. Electron. J. Probab. 22(56) 1–20, 2017
  11. Equilibrium Fluctuation of the Atlas Model [arXiv][MR]
    with Amir Dembo. Ann. Prob. 45(6B) 4529–4560, 2017
  12. KPZ equation limit of higher-spin exclusion processes [arXiv][MR]
    with Ivan Corwin. Ann. Prob. 45(3) 1771–1798, 2017
  13. Infinite Dimensional Stochastic Differential Equations for Dyson's Model [arXiv][SharedIt][MR]
    Probab. Theory Related Fields. 166(3) 801–850, 2016
  14. Weakly asymmetric non-simple exclusion process and the KPZ equation [arXiv][MR]
    with Amir Dembo. Comm. Math. Phys. 341(1) 219–261, 2016
  15. Equilibrating effects of boundary and collision in rarefied gases [MR]
    with Hung-Wen Kuo and Tai-Ping Liu. Comm. Math. Phys. 328(2) 421–480, 2014
  16. Free molecular flow with boundary effect [MR]
    with Hung-Wen Kuo and Tai-Ping Liu. Comm. Math. Phys. 318(2) 375–409, 2013
  17. Viscous shock propagation with boundary effect [MR]
    Bull. Inst. Math. Acad. Sin. (N.S.) 6(1) 1–25, 2011

Teaching

  • Fall 2019, Rutgers, MATH 550: Linear algebra and applications
  • Fall 2017, Columbia, MATH 1102: Calculus II